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In mathematics, complementation refers to an operation performed on a set. Specifically, it involves determining the complement of a mathematical set.1

The complement of a set, within a given universal set, is the collection of all elements that are not in the original set. For example, if the universal set consists of all letters of the alphabet, the complement of the set of vowels would be the set of consonants. This concept is fundamental in set theory.2

It is important to distinguish the word "complement" from "compliment." While both share Latin roots related to "completing," "complement" specifically refers to something that completes or enhances, whereas "compliment" relates to praise or courtesy.3

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